Finite Group Databasebeta

?

← Prev (#7703445) Next (#7703447) →

C₂×#47939 #7703446

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

9842 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 6 generators on 22 points:

(1,2);(4,6)(15,16,20,18)(17,19,22,21);(7,8)(9,13)(10,14)(11,12)(15,17)(16,21)(18,19)(20,22);(3,4,5,6)(8,12)(9,14)(16,18)(17,22);(7,9)(8,10)(11,14)(12,13)(15,18,20,16)(17,19,22,21);(7,10)(8,9)(11,13)(12,14)(15,19)(16,17)(18,22)(20,21)

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 7610642);